On Dirac Operators and Spectral Geometry of Compact Quantum Groups

Mathematics – Quantum Algebra

Scientific paper

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Based on talk given at EU - NCG 4th Annual Meeting, Bucharest, Romania, April 25 - 30, 2011

Scientific paper

Recent progress to construct Dirac operators and spinors on compact quantum
groups is discussed. The case $SU_q(2)$ is studied carefully and the
relationship between known approaches is explained. New examples are given.

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